Please use this identifier to cite or link to this item: https://doi.org/10.1007/BF02764778
Title: On a generalization of Albert's theorem
Authors: Leung, K.H. 
Issue Date: Oct-1990
Source: Leung, K.H. (1990-10). On a generalization of Albert's theorem. Israel Journal of Mathematics 69 (3) : 337-350. ScholarBank@NUS Repository. https://doi.org/10.1007/BF02764778
Abstract: It is proved by A. A. Albert that in an ordered division ring, any element algebraic over the center is central. In this paper, we shall investigate the following problem. Let D be an ordered division ring. Suppose every element in D is left algebraic over a maximal subfield K. Does it follow that D=K? We prove that the answers are affirmative in some cases. © 1990 The Weizmann Science Press of Israel.
Source Title: Israel Journal of Mathematics
URI: http://scholarbank.nus.edu.sg/handle/10635/103673
ISSN: 00212172
DOI: 10.1007/BF02764778
Appears in Collections:Staff Publications

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